Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology) 在线电子书 图书标签: 四元数 计算机图形学 数学 图形学 几何 变换 计算机科学 游戏开发
发表于2024-12-22
Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
这本书内容非常详尽,并且有很多图例,如果你需要非常详细的了解四元数的各个方面的话,适合阅读,如果只是CG领域的话建议建议读这一篇https://krasjet.github.io/quaternion/quaternion.pdf 就够了
评分一般
评分一般
评分这本书内容非常详尽,并且有很多图例,如果你需要非常详细的了解四元数的各个方面的话,适合阅读,如果只是CG领域的话建议建议读这一篇https://krasjet.github.io/quaternion/quaternion.pdf 就够了
评分好书,适合初学者也适合作为参考,不过蛋疼的是quaternion lives in S3,embedding in R4所以visualize 起来比较痛苦
在线阅读本书
Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.
The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important-a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions.
* Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing.
* Covers both non-mathematical and mathematical approaches to quaternions.
* Companion website with an assortment of quaternion utilities and sample code, data sets for the book's illustrations, and Mathematica notebooks with essential algebraic utilities.
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Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024